Answer:
A.
Step-by-step explanation:
that is the definition of "mean". it cuts the possible outcomes weighed with their probabilities (actual occurrences vs. possible occurrences) in 2 halves.
The areas are always equal regardless of the mean.
option (a) is correct.
What is normal distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard normal distribution is a probability distribution, so the area under the curve between two points tells you the probability of variables taking on a range of values. The total area under the curve is 1 or 100%.
Therefore ,the areas are always equal regardless of the mean.
Learn more details about normal distribution:
https://brainly.com/question/24273691
#SPJ5
Question 16 of 46
Which of the following represents the divisor and the dividend for the
synthetic division problem below?
-3% 2 4 -4 6
A. *-3 and 2x2 + 4x2 - 4x+
B. X+3 and - 2x2 - 4x2 + 4x-6
C. X+3 and 2x3+4x2 - 4x+6
O D. *-3 and -2x - 4x2 + 4x - 6
SUBMIT
Answer:
A.*-3 and 2x2 + 4x2 - 4x+
Step-by-step explanation:
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
A.*-3 and 2x2 + 4x2 - 4x+
Solve 3 - 5(a - 4) any one who can answer in the next 3 mins plz answer
Answer:
[tex]3-5\left(a-4\right)[/tex]
[tex]-5(a-4)=-5a+20[/tex]
[tex]=3-5a+20[/tex]
[tex]=-5a+23[/tex]
OAmalOHopeO
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{3 - 5(a - 4)}\\\\\huge\text{\underline{\underline{DISTRUBUTE -5 within the parentheses}}}\\\\\large\text{3 - 5(a) - 5(-4)}\\\large\text{= 3 - 5a + 20}\\\\\huge\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\large\text{-5a + (3 + 20)}\\\large\text{= \bf -5a + 23}\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf -5a + 23}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!} \\\\\\\frak{Amphitrite1040:)}[/tex]
Subtract (4x2 - x + 6) from (3x2 + 5x - 8).
A:7x^2 + 6x - 14
B:-x^2 + 4x + 2
C:7x^2 + 4x - 2
D:-x^2 + 6x - 14
Step-by-step explanation:
[tex](4x^2-x+6)-(3x^2+5x-8)=4x^2-x+6-3x^2-5x+8[/tex]
By simplifying the right side of the equation, we come up with
[tex]x^2+6x-14[/tex], or D
express the following in standard form (0.000000045)^4
0.00000004 to the power of 4
Your answer would be 0
According to Statcast, the average left field home run travels 378 feet and reaches a maximum height of 81 feet. Assuming the ball is hit from 3 feet in the air, write an equation for its height as it travels from home plate.
Answer:
H = V0y t - 1/2 g t^2 equation for vertical height of object with initial speed (V0y = V0 sin theta)
If H is to be considered an absolute value from t = 0
h = H + 3 = V0y t - 1/2 g t^2 + 3 where h is height from ground
Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)
Answer:
[tex]\boxed {\boxed {\sf (1.5 , 2.5)}}[/tex]
Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.
[tex](\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
x₁= 5 y₁= 4 x₂= -2 y₂= 1Substitute these values into the formula.
[tex]( \frac {5+ -2}{2}, \frac {4+1}{2})[/tex]
Solve the numerators.
5+ -2 = 5-2 = 3 4+1 = 5[tex]( \frac {3}{2}, \frac{5}{2})[/tex]
Convert the fractions to decimals.
[tex](1.5, 2.5)[/tex]
The midpoint of the line segment is (1.5 , 2.5)
What is the dimension of the vector space consisting of five-by-one column matrices where the rows sum to zero and the first row is equal to the second row?
a. 5
b. 4
c. 3
d. 2
Answer:
Option c.
Step-by-step explanation:
If we have a vector of N components (or variables), and we have K linear independent restrictions for these N components (such that K < N, we can't have more restrictions than components.)
The dimension of the vector will be given by N - K.
Here we know that we have a vector of 5 components, that can be written as:
[tex]v = \left[\begin{array}{ccc}v_1\\v_2\\v_3\\v_4\\v_5\end{array}\right][/tex]
And we have two restrictions, so we can expect that the dimension of the vector is:
5 - 2 = 3
But let's see it, the restrictions are:
"the first row is equal to the second row"
Then we can rewrite our vector as:
[tex]v = \left[\begin{array}{ccc}v_1\\v_1\\v_3\\v_4\\v_5\end{array}\right][/tex]
Notice that now we have only 4 variables, v₁, v₃, v₄, and v₅
We also know that the sum of the rows is equal to zero, thus:
v₁ + v₂ + v₃ + v₄ + v₅ = 0
we know that v₂ = v₁, so we can replace that to get:
2*v₁ + v₃ + v₄ + v₅ = 0
Now we can isolate one of the variables, to write it in term of the others, for example, let's isolate v₅:
v₅ = -2*v₁ - v₃ - v₄
Now if we replace that in our vector, we have:
[tex]v = \left[\begin{array}{ccc}v_1\\v_1\\v_3\\v_4\\-2*v_1 - v_3 - v_4\end{array}\right][/tex]
Notice that our vector depends on only 3 variables, v₁, v₃, and v₄, so we can define our vector in a 3-dimensional space.
Then the correct option is c, the dimension of the vector space is 3.
A company that manufactures and bottles apple juice uses a machine that automatically fills 32-ounce bottles. There is some variation, however, in the amount of liquid dispensed into the bottles. The amount dispensed has been observed to be approximately normally distributed with mean 32 ounces and standard deviation 1 ounce. Determine the proportion of bottles that will have more than 30 ounces dispensed into them. (Round your answer to four decimal places.)
Answer:
The proportion of bottles that will have more than 30 ounces dispensed into them is 0.9772 = 97.72%.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The amount dispensed has been observed to be approximately normally distributed with mean 32 ounces and standard deviation 1 ounce.
This means that [tex]\mu = 32, \sigma = 1[/tex]
Determine the proportion of bottles that will have more than 30 ounces dispensed into them.
This is 1 subtracted by the p-value of Z when X = 30, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 32}{1}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
1 - 0.0228 = 0.9772
The proportion of bottles that will have more than 30 ounces dispensed into them is 0.9772 = 97.72%.
Question of
How many solutions doen 3 -2x=5-x+3+4x have?
A Infinitely many solutions
B. Two solutions
C. No solutions
D. One solution
Answer:
one solution
Step-by-step explanation:
3 -2x=5-x+3+4x
Combine like terms
3-2x = 8+3x
Add 2x to each side
3-2x+2x = 8+3x+2x
3 = 8+5x
Subtract 8 from each side
3-8 =8+5x-8
-5 =5x
Divide by 5
-5/5 = 5x/5
-1 =x
There is one solution
Find the length of the other two side of the isosceles right triangle
Answer:
The other two sides are 7 units each.
Step-by-step explanation:
The triangle is isosceles.
The sides are in the ratio of
[tex]x : x : x \sqrt{2}[/tex]
The hypotenuse is
[tex]7\sqrt{2}=x \sqrt{2}\\\\x = 7[/tex]
So, the other two sides are 7 units each.
You flip a coin that is not fair, the prbability of heads on each flip is 0.7. if the coin shows heads, you draw a marble from urn h with 1 blue and 4 red marbles. if the coin shows tails, you draw a marble from urn t with 3 blue and 1 red marble. Find the following probabilities:
a. The probability of choosing a red marble.
b. The probability of choosing a blue marble, given that the coin showed heads.
c. The probability that the coin showed tails, given that the marble was red.
Solution :
P(H) = 0.7 ; P(T) = 0.3
If heads, then Urn H, 1 blue and 4 red marbles.
If tails, then Urn T , 3 blue and 1 red marbles.
a).
P ( choosing a Red marble )
= P (H) x P( Red from Urn H) + P (T) x P( Red from Urn T)
[tex]$=0.7 \times \frac{4}{5} + 0.3 \times \frac{1}{4}$[/tex]
= 0.56 + 0.075
= 0.635
b). If P (B, if coin showed heads)
If heads, then marble is picked from Urn H.
Therefore,
P (Blue) [tex]$=\frac{1}{5}$[/tex]
= 0.2
c). P (Tails, if marble was red)
[tex]$=P (T/R) = \frac{P(R/T)}{P(R)} \ P(T)$[/tex]
Where P (R/T) = P ( red, if coin showed tails)
[tex]$=\frac{1}{4}$[/tex]
= 0.25 (As Urn T is chosen)
P (R) = P (Red) = 0.635 (from part (a) )
P (T) = P (Tails) = 0.3
∴ [tex]$P(T/R) = \frac{0.25 \times 0.3}{0.635}$[/tex]
= 0.118
please solve the question
Answer:
[tex]g(-1) = -1[/tex]
[tex]g(0.75) = 0[/tex]
[tex]g(1)= 1[/tex]
Step-by-step explanation:
Given
See attachment
Solving (a): g(-1)
We make use of:
[tex]g(x) = -1[/tex]
Because: [tex]-1 \le x < 0[/tex] is true for x =-1
Hence:
[tex]g(-1) = -1[/tex]
Solving (b): g(0.75)
We make use of:
[tex]g(x) = 0[/tex]
Because: [tex]0 \le x < 1[/tex] is true for x =0.75
Hence:
[tex]g(0.75) = 0[/tex]
Solving (b): g(1)
We make use of:
[tex]g(x) = 1[/tex]
Because: [tex]1 \le x < 2[/tex] is true for x =1
Hence:
[tex]g(1)= 1[/tex]
Find the radius of the circle containing 18
degree arc of a circle whose length is 15 Pi meters
9514 1404 393
Answer:
150 m
Step-by-step explanation:
The relationship between arc length (s), radius (r), and central angle (θ) is ...
s = rθ
Dividing by θ gives the formula for r:
r = s/θ = (15π m)/(18°(π/180°))
r = 150 m . . . . the radius of the circle
What information is NOT necessary to find the area of a circle?
a.
pi
c.
diameter
b.
radius
d.
height
Answer:
D. Height
General Formulas and Concepts:
Geometry
Area of a Circle: A = πr²
r is radiusStep-by-step explanation:
In order to find the area of a circle, we must follow the formula. Out of all the options given, height is not incorporated into the formula.
It wouldn't make sense to use height anyways since it would be 3-dimenional and we're talking 2-dimensional.
∴ our answer is D.
Solve.
69) One number is 2 less than a second number.
Twice the second number is 16 more than 4 times
the first. Find the two numbers.
Answer:
-4,-6
Step-by-step explanation:
x = y-2
2y = 4x+16
2y = 4(y-2) + 16
2y = 4y -8 + 16
-2y = 8
y = -4
x = -6
1
Select the correct answer.
The graph shows the quadratic function f and the table shows the quadratic function &
f(x)
4
2
X
2
14
M
Х
-5
-4
-3
-2
-1
0
1
g(x)
10
7
6
7
10
15
22
Which statement is true?
Answer:
g(x)
because it is a quadratic equation it is mirrored the other one isn’t even a function
The true statement is The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
The function g has the axis of symmetry as x = 2, since the values of the function below and above x = 2 changes in the same way.
The function f is a parabola.
The axis of symmetry is also x = 2, since the graph is the same before and after the line x = 2.
So the both the functions have same axis of symmetry.
Maximum value of the function f = 4 at x = 2. Since no other values of f is greater than 4.
At x = 2, the value of g = 3
Maximum value of g = 3
So, maximum value of f is greater than the maximum value of g.
Hence the correct option is B.
Learn more about Functions here :
https://brainly.com/question/14708365
#SPJ7
Your question is incomplete. The complete question is as given below.
The graph shows the quadratic function f and the table shows the quadratic function g.
x : -2 -1 0 1 2 3 4
g(x) -1 0.75 2 2.75 3 2.75 2
Which statement is true?
The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
The functions f and g have different axes of symmetry and different maximum values.
The functions f and g have the same axis of symmetry and the same maximum values.
Please help I am in class rn and I need this DONe
pattern. quadrant
(- ,-). III
(+,+). I
(+,-). IV
(-,+). II
Step-by-step explanation:
PLS MARK BRAINLIEST
#4.
Quadrant I - top right: (+, +)
Quadrant II - top left: (-, +)
Quadrant III - bottom left: (-, -)
Quadrant IV - bottom right: (+, -)
#5.
a. (-6, -2) : (-, -) : III
b. (3, 8) : (+, +) : I
c. (1, -4) : (+, -) : IV
d. (-5, 6) : (-, +) : II
Hope this helps!
WILL MARK BRAINLYST!!! Enter the correct answer in the box. Write your answer in the form y=mx+ b, using the appropriate inequality symbol in place of the equal sign.
What inequality is shown in the graph?
Answer:
The inequality shown in the graphic is [tex]y > 4x + 1[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0).
Inequality:
Values greater than the dashed line, dashed so the line is not part of the inequality, thus, the inequality is:
[tex]y > mx + b[/tex]
Dashed line:
The dashed line goes through (0,1) and (1,5).
Point (0,1) means that when [tex]x = 0, y = 1[/tex], so [tex]b = 1[/tex], and:
[tex]y > mx + 1[/tex]
Finding the slope:
When we have two points, the slope is given by the change in y divided by the change in x. In this question, we have point (0,1) and (1,5), so:
Change in y: 5 - 1 = 4
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{4}{1} = 4[/tex]
What inequality is shown in the graph?
[tex]y > 4x + 1[/tex]
Which of the following theorems verifies that abc wxy
Answer:
C. AA
Step-by-step explanation:
Since m<Y = 27°, then m<W = 27°.
We have two angles of one triangle (A and B) congruent to two angles of the other triangle (W and X).
Answer: C. AA
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles. The manufacturer tests 250 tires and finds the mean life for these tires to be 64,500 miles.What is the alternative hypothesis being tested in this example
Answer:
The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:
[tex]H_1: \mu > 60,000[/tex]
Step-by-step explanation:
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.
At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:
[tex]H_0: \mu \leq 60,000[/tex]
At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:
[tex]H_1: \mu > 60,000[/tex]
An airplane started at 0 feet. It rose 21,000 feet at takeoff. It then descended 4,329 feet because of clouds. An oncoming plane was approaching, so it rose 6,333 feet. After the oncoming plane passed, it descended 8,453 feet, at what altitude was the plane flying?
PLEASE HELP!! URGENT
Answer:
y=105
Step-by-step explanation:
82+75+x=180
157+x=180
x=23
82+23=y
105=y
The number formed by subtracted 1 from smallest 7-digit number is
Step-by-step explanation:
the number formed by subtracting 1 from the smallest 7 digit number is largest 6 digit number.
plz help and explain this :)
Answer:
y=3x+6
Step-by-step explanation:
in a line graph, y=mx+c
m refers to gradient, c refers to y-intercept.
since lines are parallel, both lines have the same gradient.
the line intersects (1,9)
x=1,y=9
9=3(1)+c
c=6
so y=3x+6
Answer:
y = 3x+6
Step-by-step explanation:
Parallel lines have the same slope
y = 3x+2 is in slope intercept form (y=mx+b where m is the slope and b is the y intercept)
So the slope is 3
Y = 3x+2
Using the point given substitute into the equation and solve for b
9 = 3(1)+b
9 =3+b
9-3 =b
6=b
y = 3x+6
The population of a town is decreasing exponentially according to the formula
P = 7,285(0.97)t, where t is measured in years from the present date. Find the population in 2 years, 9 months. (Round your answer to the nearest whole number.)
Answer: 6669
Step-by-step explanation:
I hope I did this right... anyways,
t, is represented by years, which is given to us by 2 years and 9 months. Assuming you would put 2.9 for t.
Additionally, as you can't have a decimal for a person, and they've asked for it to be rounded to the nearest whole number, there would be 6669 people in 2 years and 9 months.
The formula used is:
[tex]7285(0.97)^2^.^9[/tex]
Six math books, four physics books and three chemistry books are arranged on a shelf.
How many arrangements are possible if all books of the same subject are grouped together?
Answer:
622,080
Step-by-step explanation:
The total number of subjects is 3
= 3×2×1
= 6
Six maths book
= 6×5×4×3×2×1
= 720
Four physics book
= 4×3×2×1
= 24
Three chemistry book
= 3×2×1
= 6
6×720×24×6
= 622,080
Hence if the books are grouped together 622,080 arrangement is possible
The grades in a statistics course for a particular semester were as follows:
Grade ABCDF f 14 18 32 20 16
Test the hypothesis, at the 0.05 level of significance, that the distribution of grades is uniform. (Test that each grade is equally likely) Round your solutions to 3 decimal places where necessary.
Test Statistic =
Critical Value =
Answer:
Test Statistic = 10
Critical Value = 9.488
Step-by-step explanation:
Given :
Grade A _ B _ C _ D _ F
_____14 _ 18 _32_ 20_16
H0 : distribution of grade is uniform
H1 : Distribution of grade is not uniform
Using the Chisquare statistic :
χ² = (observed - Expected)² / Expected
The expected value :
(14+18+32+20+16) / 5 = 20
χ² = (14-20)^2 / 20 + (18-20)^2 / 20 + (32-20)^2 / 20 + (20-20)^2 / 20 + (16-20)^2 / 20
χ² statistic = 10
The χ² critical at df = (n - 1) = 5 - 1 = 4
χ² Critical(10, 4) = 9.488
express the following in standard form
1) 5,94,00,00,00,000
2) 6892.25
Plz tell
Answer:
first one is going to be
5.94x10¹¹
second one is going to be
6.89225x10³
2 6 + 3 * 4 2 + 7 * - 2 /
Answer:
26 + 3 x 42 + 7 x -2 = 138
Step-by-step explanation:
Ok bud, first step we must convert our symbols (Makes it easier to solve)
26 + 3 x 42 + 7 x -2
* subsitutes for multiplication.
I recommend using PEMDAS at times:
1 - Parentheses
2 - Exponents and Roots
3 - Multiplication
4 - Division
5 - Addition
6 - Subtraction
Yet again your numbers were spaced out could they be exponents? if so:
3x^{42}+7x+24
Our answer would round to 24 but he equation was not put in a valid or straight forward way.
Kelsie wants to create a "SMART" goal to help her get to work on time every day. Which of the following is the best goal? O a) "I will stop being late for work by setting my alarm every day." O b) "I will get to work before 9 A.M. every day this month." Oc) "I will get to work on time." "I will get to work on or before 9 A.M. at least 20 workdays per month by O d) setting an alarm the night before and not hitting the snooze button."
The best option for Kelsie to create a SMART goal is b) "I will get to work before 9 A.M. every day this month."
Option B captures the essence of a smart goal. A smart goal has the following characteristics: specific, measurable, achievable or attainable, realistic or relevant, and time-bound.
1. Specific: A smart goal like option B is well-defined, clear, and unambiguous.
2. Measurable: A smart goal sets specific criteria that measure Kelsie's progress toward the accomplishment of her goal. For example, any day that she does not get to work before 9 a.m. she knows that she does not achieve her work arrival goal for that day.
3. Achievable: Kelsie's goal becomes attainable and possible to achieve because there is a set time for her to arrive at her work.
4. Realistic: Kelsie's goal, which she set for this month, is within her reach. It is realistic, and relevant to her purpose.
5. Time-bound: Kelsie has set a clearly defined timeline, which creates the needed urgency for her to realize it. It includes a starting date and a target date, which will encourage her to realize it.
Thus, option B is the correct option that meets the criteria of a SMART goal unlike options A, C, and D, which are ambiguous, unrealistic, and not time-bound.
Learn more about SMART goals from www.brainly.com/question/4939309
